Question
(631−x)×1027−1417=723
Solve the equation
x=27
Alternative Form
x=3.5
Evaluate
(631−x)×1027−1417=723
Simplify
More Steps

Evaluate
(631−x)×1027−1417
Multiply the terms
More Steps

Evaluate
(631−x)×1027
Apply the distributive property
631×1027−x×1027
Multiply the numbers
20279−x×1027
Use the commutative property to reorder the terms
20279−1027x
20279−1027x−1417
Subtract the numbers
More Steps

Evaluate
20279−1417
Reduce fractions to a common denominator
20×7279×7−14×1017×10
Multiply the numbers
140279×7−14×1017×10
Multiply the numbers
140279×7−14017×10
Write all numerators above the common denominator
140279×7−17×10
Multiply the numbers
1401953−17×10
Multiply the numbers
1401953−170
Subtract the numbers
1401783
1401783−1027x
1401783−1027x=723
Move the constant to the right-hand side and change its sign
−1027x=723−1401783
Subtract the numbers
More Steps

Evaluate
723−1401783
Reduce fractions to a common denominator
7×2023×20−1401783
Multiply the numbers
14023×20−1401783
Write all numerators above the common denominator
14023×20−1783
Multiply the numbers
140460−1783
Subtract the numbers
140−1323
Cancel out the common factor 7
20−189
Use b−a=−ba=−ba to rewrite the fraction
−20189
−1027x=−20189
Change the signs on both sides of the equation
1027x=20189
Multiply by the reciprocal
1027x×2710=20189×2710
Multiply
x=20189×2710
Solution
More Steps

Evaluate
20189×2710
Reduce the numbers
207×10
Reduce the numbers
27×1
Multiply the numbers
27
x=27
Alternative Form
x=3.5
Show Solution

Rewrite the equation
2x=7
Evaluate
(631−x)×1027−1417=723
Evaluate
More Steps

Evaluate
(631−x)×1027−1417
Multiply the terms
More Steps

Evaluate
(631−x)×1027
Apply the distributive property
631×1027−x×1027
Multiply the numbers
20279−x×1027
Use the commutative property to reorder the terms
20279−1027x
20279−1027x−1417
Subtract the numbers
More Steps

Evaluate
20279−1417
Reduce fractions to a common denominator
20×7279×7−14×1017×10
Multiply the numbers
140279×7−14×1017×10
Multiply the numbers
140279×7−14017×10
Write all numerators above the common denominator
140279×7−17×10
Multiply the numbers
1401953−17×10
Multiply the numbers
1401953−170
Subtract the numbers
1401783
1401783−1027x
1401783−1027x=723
Multiply both sides of the equation by LCD
1783−378x=460
Move the constant to the right side
−378x=−1323
Multiply both sides
378x=1323
Solution
2x=7
Show Solution
